One dimensional discrete Schr\"odinger operators with resonant embedded eigenvalues
Mathematical Physics
2022-07-04 v1 math.MP
Spectral Theory
Abstract
In this paper, we introduce a new family of functions to construct Schr\"odinger operators with embedded eigenvalues. This particularly allows us to construct discrete Schr\"odinger operators with arbitrary prescribed sets of eigenvalues.
Cite
@article{arxiv.2207.00194,
title = {One dimensional discrete Schr\"odinger operators with resonant embedded eigenvalues},
author = {Wencai Liu and Kang Lyu},
journal= {arXiv preprint arXiv:2207.00194},
year = {2022}
}